What is the Least Common Multiple of 88548 and 88557?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 88548 and 88557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88548 and 88557, than apply into the LCM equation.

GCF(88548,88557) = 3
LCM(88548,88557) = ( 88548 × 88557) / 3
LCM(88548,88557) = 7841545236 / 3
LCM(88548,88557) = 2613848412

Least Common Multiple (LCM) of 88548 and 88557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88548 and 88557. First we will calculate the prime factors of 88548 and 88557.

Prime Factorization of 88548

Prime Factorization of 88557

Now multiplying the highest exponent prime factors to calculate the LCM of 88548 and 88557.

LCM(88548,88557) = 2² × 3¹ × 47¹ × 157¹ × 7¹ × 4217¹
LCM(88548,88557) = 2613848412